What do you call a second time dimension

I am in the planning stages of developing a video game that uses time travel as a core mechanic, but ive found that describing certain actions (for both player tutorials and just my own mental understanding) is a little clunky, mostly due to the fact that i dont have a good linguistic distinction between time from the world's perspective and the player's personal timeline.

I dont think re-defining the word time itself is a good path so im gonna keep that referring to the world's perspective so language about traveling through "time" continues to make sense.

What are yalls thoughts on a name for ones own personal timeline? For example a point (in your 5 dimensional existance) might be in the future but in backwards in your [???] because you had already been to that point.

Edit: I can see some folks getting hung up on my use of the word "dimension" I want to clarify that I am working off of the vector space definition of a dimension where any two variables which are independent of each other can be classified as a 2D vector space, not in the sense of the universe's itself having a higher level of time dimensionality.